Really gently, jogged round section of pitch (7)
I believe the answer is:
soprano
'section of pitch' is the definition.
(range of notes at a certain pitch)
'really gently jogged round' is the wordplay.
'really' becomes 'so' (both can mean 'extremely').
'gently' becomes 'p' (musical abbreviation for 'piano', softly).
'jogged' becomes 'ran' (jogging is a type of running).
'round' becomes 'o' (round can mean a round object).
'so'+'p'+'ran'+'o'='SOPRANO'
(Other definitions for soprano that I've seen before include "Isolde, Violetta or 25" , "Highest adult female voice" , "Norman, perhaps" , "Highly vocal musician" , "Female singing voice" .)